Results 51 to 60 of about 227 (74)

Existence of solitons in the nonlinear beam equation

, 2011
This paper concerns with the existence of solitons, namely stable solitary waves in the nonlinear beam equation (NBE) with a suitable nonlinearity. An equation of this type has been introduced by P.J. McKenna and W.
Benci, Vieri, Fortunato, Donato
core   +1 more source

Time-dependent Schroedinger equation in dimension $k+1$: explicit and rational solutions via GBDT and multinodes

, 2011
A version of the binary Darboux transformation is constructed for non-stationary Schroedinger equation in dimension $k+1$, where $k$ is the number of space variables, $k \geq 1$. This is an iterated GBDT version. New families of non-singular and rational
Sakhnovich, A. L.
core   +1 more source

Solitons of a simple nonlinear model on the cubic lattice

, 2017
We study a simple nonlinear model defined on the cubic lattice. We propose a bilinearization scheme for the field equations and demonstrate that the resulting system is closely related to the well-studied integrable models, such as the Hirota bilinear ...
Vekslerchik, V. E.
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Chaotic and quasi-periodic dynamics in nonlinear micro-strain wave systems: Exact symbolic solutions and symmetry-based analysis

Results in Engineering
This work presents a systematic theoretical and computational investigation of the micro-strain wave (MSW) model, a fundamental nonlinear evolution equation governing propagation phenomena in media with microscale deformation effects.
Mostafa M.A. Khater
doaj   +1 more source

The Rogue Wave and breather solution of the Gerdjikov-Ivanov equation

, 2011
The Gerdjikov-Ivanov (GI) system of $q$ and $r$ is defined by a quadratic polynomial spectral problem with $2 \times 2$ matrix coefficients. Each element of the matrix of n-fold Darboux transformation of this system is expressed by a ratio of $(n+1 ...
Gerdjikov V. S., Jingsong He, Pei L. M., Shuwei Xu, Zakharov V. E.   +4 more
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Mathematical analysis of some new adequate broad-ranging soliton solutions of nonlinear models through the recent technique

Partial Differential Equations in Applied Mathematics
The Bogoyavlenskii and the simplified modified Camassa-Holm (SMCH) models are studied through the recent technique namely auxiliary equation method in this paper.
M. Ashikur Rahman, M. Al-Amin, Mst. Kamrunnaher, M. Abul Kawser, Rajaul Haque, M. Ali Akbar, M. Nurul Islam   +6 more
doaj   +1 more source

Signatures of partition functions and their complexity reduction through the KP II equation

, 2018
A statistical amoeba arises from a real-valued partition function when the positivity condition for pre-exponential terms is relaxed, and families of signatures are taken into account.
Baxter R. J., Bjorner A., Cover T. M., Dubrovin B., Feynman R. P., Feynman R. P., Gantmacher F. R., Gelfand I. M., Hastie T., Hirota R., Hogben L., Kleinert H., Landau L. D., Ma P., Mario Angelelli, Miwa T., Richter-Gebert J., Sato M.   +17 more
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Self-similar solutions to the mean curvature flow in $\mathbb{R}^{3}$

, 2020
In this paper we make an analysis of self-similar solutions for the mean curvature flow (MCF) by surfaces of revolution and ruled surfaces in $\mathbb{R}^{3}$.
Leandro, Benedito, Novais, Rafael, Reis, Hiuri F. S. dos   +2 more
core  

Complete shrinking Riemann solitons [PDF]

Arab Journal of Mathematical Sciences
PurposeThis paper investigates the topological and geometric properties of complete shrinking Riemann solitons (Mm, g, µ, V), extending classical results from Ricci solitons to the more general Riemann soliton setting.Design/methodology/approachWe employ
Mehdi Jafari, Shahroud Azami
doaj   +1 more source

Higher order solitary solutions to the meta-model of diffusively coupled Lotka-Volterra systems. [PDF]

Adv Differ Equ, 2021
Timofejeva I, Telksnys T, Navickas Z, Marcinkevicius R, Ragulskis M.   +4 more
europepmc   +1 more source